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Finding the Fourth Proportional to 8,562.78, 12,858.12 and 5,296.68

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Solution

The fourth proportional to 8,562.78, 12,858.12 and 5,296.68 is: 7,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.78 : 12,858.12 = 5,296.68 : x
  2. Step 2: Convert to fraction form
    8,562.78/12,858.12 = 5,296.68/x
  3. Step 3: Cross multiply
    8,562.78x = 12,858.12 × 5,296.68
  4. Step 4: Simplify right side
    8,562.78x = 68,105,347.04
  5. Step 5: Solve for x
    x = 68,105,347.04/8,562.78
  6. Step 6: Final answer
    x = 7,953.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.